Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
-
A4:3
-
B3:4
-
C2:3
-
D5:4
Answer
Correct Answer: 4:3
Explanation
We are given:
- Train A reaches its destination 9 hours after meeting
- Train B reaches its destination 16 hours after meeting
Concept:Let the two trains meet at point M.After meeting, the time taken to reach their destinations is inversely proportional to their speeds.
Step 1: Use inverse time-speed relationshipSpeed of Train A / Speed of Train B = √(16) / √(9)= 4 / 3
Final Answer:The ratio of their speeds is 4:3